mvsd
Math Curriculum 01/12/03

Mathematics - Geometry

Mathematics

The Idaho State Achievement Standards for Mathematics provides skills for kindergarten through twelfth grade.


Algebraic Concepts

    Connecting: Algebra/Geometry
The learner will be able to apply algebraic skills and ideas to obtain solutions to geometry problems through geometry.
Strand Bloom's Scope Hours Source
Connecting Master District Expectation
  

Geometry

    Angles: Recognize
The learner will be able to identify angle pairs that are created when two lines are crossed by a transversal.
Strand Bloom's Scope Hours Source
Angles Master ID: State Achievement Standards, 2001, Grades 9-12, 351.01
  
    Lines/Angles: Identify/Use/Properties
The learner will be able to identify and use inequality properties with the measurements of segments in triangles and angles in triangles.
Strand Bloom's Scope Hours Source
Lines/Angles/Polygons Master ID: State Achievement Standards, 2001, Grades 9-12, 351.01
  
    Circles: Identify/Define
The learner will be able to recognize and solve problems with circles and their component parts, the lines associated with circles, circle properties, their relationship to polygons, and/or associated angle concepts.
Strand Bloom's Scope Hours Source
Circles Master ID: State Achievement Standards, 2001, Grades 9-12, 351.01; ISAT
  
    Planes/Points/Lines: Apply/Facts
The learner will be able to apply elementary facts about points, lines (perpendicular and parallel) and planes (perpendicular and parallel).
Strand Bloom's Scope Hours Source
Planes/Points/Lines Master ID: State Achievement Standards, 2001, Grades 9-12, 351.01; ISAT
  
    Planes/Points/Lines: Recognize/Define
The learner will be able to recognize, define, or explain and contrast the properties associated with points, lines, planes, segments, rays, and angles.
Strand Bloom's Scope Hours Source
Planes/Points/Lines Master ID: State Achievement Standards, 2001, Grades 9-12, 351.01; ISAT
  
    Properties: Quadrilaterals
The learner will be able to apply properties of quadrilaterals to form and/or test relationships with diagonals, angles, and/or lines of symmetry.
Strand Bloom's Scope Hours Source
Properties of Figures Master ID: State Achievement Standards, 2001, Grades 9-12, 351.01; ISAT
  
    Properties: State/Apply
The learner will be able to state and/or use properties of triangles and/or quadrilaterals of various types.
Strand Bloom's Scope Hours Source
Properties of Figures Master ID: State Achievement Standards, 2001, Grades 9-12, 351.01; ISAT
  
    Right Triangles: Identify
The learner will be able to identify right triangles through the use of elementary congruence postulates and/or theorems.
Strand Bloom's Scope Hours Source
Right Triangles Master ID: State Achievement Standards, 2001, Grades 9-12, 351.02 and 348.02; ISAT
  
    Solids: Polyhedrons/Spheres/Parts
The learner will be able to recognize polyhedrons including prisms, pyramids, cubes, tetrahedrons, cylinders, cones, spheres, faces, edges, vertices, bases, and/or lateral edges.
Strand Bloom's Scope Hours Source
Three-Dimensional Solids Master ID: State Achievement Standards, 2001, Grades 9-12, 351.01; ISAT
  
    Circle Parts: Arc Length
The learner will be able to determine the arc length of a circle.
Strand Bloom's Scope Hours Source
Circles Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 351.01
  
    Planes: Recognize
The learner will be able to identify parallel planes.
Strand Bloom's Scope Hours Source
Planes/Points/Lines Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 351.01
  
    Congruence: Apply Tools
The learner will be able to apply tools (compass, straightedge, folded paper, mirrors, and/or computers) in the creation of congruent segments, angles, triangles, and/or circles.
Strand Bloom's Scope Hours Source
Congruence Application Master District Expectation: ISAT
  
    Constructions: Use/Tools
The learner will be able to use tools to create angle bisectors, perpendicular bisectors, a perpendicular line from a point on a line, parallel lines, proportional line segments, tangents, and inscribe and circumscribed polygons.
Strand Bloom's Scope Hours Source
Constructions Application Master District Expectation; ISAT
  
    Lines/Angles: Identify
The learner will be able to recognize, define, approximate, and/or measure line segments and angles of all kinds.
Strand Bloom's Scope Hours Source
Lines/Angles/Polygons Application Master District Expectation; ISAT
  
    Parallel Lines: Use/Properties
The learner will be able to use properties that involve parallel lines and/or proportion.
Strand Bloom's Scope Hours Source
Lines: Parallel/Perpendicular Application Master ID: State Achievement Standards, 2001, Grades 9-12, 348.02.b
  
    Similarity: Properties
The learner will be able to identify and/or use properties of similar polygons with the use of ratio and proportion.
Strand Bloom's Scope Hours Source
Similarity Comprehension Master ID: State Achievement Standards, 2001, Grades 9-12, 351.01.b; ISAT
  
    Spatial Thinking: Apply
The learner will be able to apply visualization skills to investigate and/or interpret two- and three-dimensional figures using projections, cross sections, and/or locus problems.
Strand Bloom's Scope Hours Source
Spatial Thinking Application Master District Expectation
  
    Theorems: Apply/State
The learner will be able to state and/or use the triangle sum theorem, exterior angle theorems, and/or polygon angle sum theorems.
Strand Bloom's Scope Hours Source
Geometric Proofs/Theorems Knowledge Master ID: State Achievement Standards, 2001, Grades 9-12, 348.02.b; ISAT
  
    Three-Dimensional Solids: Areas
The learner will be able to determine the lateral and total areas of right prisms, regular pyramids, right circular cylinders, and cones.
Strand Bloom's Scope Hours Source
Three-Dimensional Solids Application Master ID: State Achievement Standards, 2001, Grades 9-12, 349.01; ISAT
  
    Three-Dimensional Solids: Volumes
The learner will be able to determine the volume of solid figures composed of prisms, pyramids, cylinders, cones, or spheres.
Strand Bloom's Scope Hours Source
Three-Dimensional Solids Application Master ID: State Achievement Standards, 2001, Grades 9-12, 349.01.a; ISAT
  
    Transformations: Apply
The learner will be able to apply transformations to inspect symmetry, similarity, and/or congruence of geometric figures.
Strand Bloom's Scope Hours Source
Transformations Application Master ID: State Achievement Standards, 2001, Grades 9-12, 351.01.a
  
    Transformations: Determine
The learner will be able to determine the images of geometric figures under distance-maintaining transformations including line reflections, translations, and/or rotations in space or on a coordinate plane.
Strand Bloom's Scope Hours Source
Transformations Comprehension Master ID: State Achievement Standards, 2001, Grades 9-12, 351.01.a; ISAT
  
    Transformations: Examine/Apply
The learner will be able to inspect and/or use elementary properties of line reflections, translations, rotations, dilations, and/or their compositions to solve Problems.
Strand Bloom's Scope Hours Source
Transformations Application Master ID: State Achievement Standards, 2001, Grades 9-12, 351.01.a; ISAT
  
    Circle Parts: Sector/Area
The learner will be able to compute area of sectors of a circle.
Strand Bloom's Scope Hours Source
Circles Application Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 349.01.a
  
    Congruence: Identify
The learner will be able to recognize congruent figures.
Strand Bloom's Scope Hours Source
Congruence Knowledge Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 351.01.a
  
    Congruence: Identify
The learner will be able to identify congruence in practical applications.
Strand Bloom's Scope Hours Source
Congruence Knowledge Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 351.01.a
  
    Congruence: Properties
The learner will be able to apply congruence properties to test conjectures involving triangles.
Strand Bloom's Scope Hours Source
Congruence Evaluation Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 351.01.a
  
    Geometric Relationships: Problem Solving
The learner will be able to use geometric relationships to solve problems.
Strand Bloom's Scope Hours Source
Geometric Relationships Application Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 348.01.a
  
    Inductive/Deductive: Prove/Conjectures
The learner will be able to apply inductive and deductive reasoning to prove conjectures presented in written form.
Strand Bloom's Scope Hours Source
Reasoning Evaluation Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 348.02.a
  
    Lines: Identify/Skew
The learner will be able to identify skew lines.
Strand Bloom's Scope Hours Source
Lines Knowledge Master 0.5 District Expectation
  
    Parallel Lines: Identify
The learner will be able to identify parallel lines.
Strand Bloom's Scope Hours Source
Lines: Parallel/Perpendicular Knowledge Master 0.5 District Expectation
  
    Polygons: Classify
The learner will be able to classify polygons as being regular, convex, and/or congruent.
Strand Bloom's Scope Hours Source
Polygons Analysis Master 1.0 District Expectation; ISAT
  
    Problem Solving: Polygons
The learner will be able to use the properties of similar polygons in obtaining problem solutions.
Strand Bloom's Scope Hours Source
Problem Solving Application Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 348.02.a; ISAT
  
    Pythagorean Theorem: Apply
The learner will be able to use the Pythagorean theorem and/or the theorem's converse.
Strand Bloom's Scope Hours Source
Pythagorean Theorem Application Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 351.02.c
  
    Pythagorean Theorem: State/Converse
The learner will be able to state the Pythagorean Theorem and its converse.
Strand Bloom's Scope Hours Source
Pythagorean Theorem Knowledge Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 351.02.c
  
    Right Triangles: State/Properties
The learner will be able to state the properties of special right triangles.
Strand Bloom's Scope Hours Source
Right Triangles Comprehension Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 351.02.a
  
    Right Triangles: Use/Properties
The learner will be able to use the properties of special right triangles (30-60-90 and/or 45-45-90).
Strand Bloom's Scope Hours Source
Right Triangles Application Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 351.02.a
  
    Similarity: Figures
The learner will be able to recognize similar figures in practical applications.
Strand Bloom's Scope Hours Source
Similarity Knowledge Master 0.5 ID: State Achievement Standards, 2001, Grades 9-12, 351.01.a
  
    Similarity: Triangles
The learner will be able to recognize and solve problems with similar triangles (and other polygons) though the application of their properties.
Strand Bloom's Scope Hours Source
Similarity Knowledge Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 351.01.a; ISAT
  
    Transformations: Dilations
The learner will be able to determine the image of figures under dilations.
Strand Bloom's Scope Hours Source
Transformations Application Master 1.5 ID: State Achievement Standards, 2001, Grades 9-12, 351.01.a
  
    Triangles: Classify
The learner will be able to classify triangles as scalene, equilateral or isosceles.
Strand Bloom's Scope Hours Source
Triangles Analysis Master 0.5 District Expectation; ISAT
  
    Triangles: Identify/Congruent
The learner will be able to recognize congruent triangles.
Strand Bloom's Scope Hours Source
Triangles Knowledge Master 0.5 District Expectation; ISAT
  
    Triangles: Sorting
The learner will be able to classify triangles by their angle measures (acute, obtuse, or right).
Strand Bloom's Scope Hours Source
Triangles Analysis Master 0.5 District Expectation; ISAT
  
    Geometry: Postulates
The learner will be able to identify the geometric postulates which form the basis of Euclidean geometry and know what constitutes a postulate.
Strand Bloom's Scope Hours Source
Geometric Concepts Knowledge Master 1.0 ISAT
  
    Angles: Interior/exterior
The learner will be able to identify and calculate the interior and exterior angles of a given figure.
Strand Bloom's Scope Hours Source
Angles Application Master 1.0 ISAT
  
    Circle: Radius/Diameter/Chord
The learner will be able to determine possible values for either radius, diameter, or chords of a circle with given area.
Strand Bloom's Scope Hours Source
Circles Application Master 2.0 ISAT
  

Mathematics Processes

    Reasoning: Apply
The learner will be able to apply formal and/or informal logical reasoning processes.
Strand Bloom's Scope Hours Source
Reasoning Master ID: State Achievement Standards, 2001, Grades 9-12, 348.02
  
    Reasoning: Inductive/Deductive
The learner will be able to apply inductive and/or deductive reasoning skills to form conclusions, recognize conjectures and counterexamples, and to describe the characteristics of a deductive mathematical system.
Strand Bloom's Scope Hours Source
Reasoning Application Master ID: State Achievement Standards, 2001, Grades 9-12, 348.02.a
  
    Reasoning: Recognize
The learner will be able to identify correct deductive reasoning, and create and/or apply if-then, converse, inverse, and/or contrapositive statements.
Strand Bloom's Scope Hours Source
Reasoning Comprehension Master ID: State Achievement Standards, 2001, Grades 9-12, 348.02.a
  

Measurement

    Perimeter/Area/Volume: Concepts
The learner will be able to define and/or understand the differences among perimeter, area, and volume and their respective units.
Strand Bloom's Scope Hours Source
Perimeter/Area/Volume Master ID: State Achievement Standards, 2001, Grades 9-12, 351.01and 349.01; ISAT
  
    Area: Use/Solve
The learner will be able to obtain solutions to problems using area.
Strand Bloom's Scope Hours Source
Area Master 0.5 ID: State Achievement Standards, 2001, Grades 9-12, 351.01
  
    Area of a Circle: Calculate
The learner will be able to calculate the area of a circle.
Strand Bloom's Scope Hours Source
Area of a Circle Application Master 0.5 ID: State Achievement Standards, 2001, Grades 9-12, 349.01.a; ISAT
  
    Area of a Parallelogram
The learner will be able to calculate the area of a parallelogram.
Strand Bloom's Scope Hours Source
Area Application Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 349.01.a; ISAT
  
    Area of a Rectangle: Determine
The learner will be able to find the area of a rectangle.
Strand Bloom's Scope Hours Source
Area of a Rectangle Application Master 1.5 ID: State Achievement Standards, 2001, Grades 9-12, 349.01.a; ISAT
  
    Area of a Square: Find
The learner will be able to determine the area of a square.
Strand Bloom's Scope Hours Source
Area of a Square Application Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 349.01.a; ISAT
  
    Area of a Trapezoid: Calculate
The learner will be able to calculate the area of a trapezoid.
Strand Bloom's Scope Hours Source
Area Application Master 0.5 ID: State Achievement Standards, 2001, Grades 9-12, 349.01.a; ISAT
  
    Area of a Triangle: Determine
The learner will be able to find the area of a triangle.
Strand Bloom's Scope Hours Source
Area of a Triangle Application Master 1.5 ID: State Achievement Standards, 2001, Grades 9-12, 349.01.a; ISAT
  
    Area: Compare
The learner will be able to make comparisons of the areas of similar polygons.
Strand Bloom's Scope Hours Source
Area Analysis Master 1.5 ID: State Achievement Standards, 2001, Grades 9-12, 351.01.b;ISAT
  
    Area: Regular Polygon
The learner will be able to determine the area of a regular polygon.
Strand Bloom's Scope Hours Source
Area Application Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 349.01.a; ISAT
  
    Circumference: Determine
The learner will be able to determine the circumference of a circle.
Strand Bloom's Scope Hours Source
Circumference Application Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 349.01.a; ISAT
  
    Perimeter: Polygons
The learner will be able to find the perimeter of polygons.
Strand Bloom's Scope Hours Source
Perimeter Application Master 0.5 ID: State Achievement Standards, 2001, Grades 9-12, 349.01.a; ISAT
  
    Perimeter: Use/Solve
The learner will be able to obtain solutions to problems using perimeter.
Strand Bloom's Scope Hours Source
Perimeter Application Master 0.5 ID: State Achievement Standards, 2001, Grades 9-12, 348.01.a; ISAT
  
    Surface Area: Determine/Sphere
The learner will be able to determine the surface area of a sphere.
Strand Bloom's Scope Hours Source
Surface Area Application Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 349.01.a; ISAT
  
    Volume: Compare
The learner will be able to make comparisons of the volumes of similar solids.
Strand Bloom's Scope Hours Source
Volume Analysis Master 1.5 ID: State Achievement Standards, 2001, Grades 9-12, 351.01.b; ISAT
  
    Volume: Use/Solve
The learner will be able to obtain solutions to problems using volume.
Strand Bloom's Scope Hours Source
Volume Application Master 0.5 ID: State Achievement Standards, 2001, Grades 9-12, 348.01.a; ISAT
  
    Formulas: Problem Solving
The learner will be able to solve problems by determining the correct formula to use.
Strand Bloom's Scope Hours Source
Formulas Application Master 2.0 ISAT
  
    Problem Solving: Surface Area/Volume
The learner will be able to solve real world problems using the surface area and volume of three-dimensional solids made up of a combination of basic shapes.
Strand Bloom's Scope Hours Source
Problem Solving Application Master 1.0 District Expectation
  

Problem Solving

    Problem Solving: Tools/Techniques
The learner will be able to obtain solutions to problems and practical applications applying suitable techniques and instruments, including calculators and computers.
Strand Bloom's Scope Hours Source
Problem Solving Master ID: State Achievement Standards, 2001, Grades 9-12, 348.01
  
    Solution: Reasonableness
The learner will be able to evaluate the reasonableness of a given solution.
Strand Bloom's Scope Hours Source
Solution Evaluation Master 1.5 District Expectation
  

Real Numbers and the Coordinate Plane

    Coordinate Geometry: Explore
The learner will be able to apply coordinate methods to investigate, conjecture, and/or prove properties of geometric figures through the application of algebra, graphing, and/or suitable technology.
Strand Bloom's Scope Hours Source
Coordinate Geometry Master ID: State Achievement Standards, 2001, Grades 9-12, 351.03; ISAT
  
    Coordinate Geometry: Find Point
The learner will be able to determine the coordinates of the point of intersection of two lines through the use of algebra, graphing, and/or suitable technology.
Strand Bloom's Scope Hours Source
Coordinate Geometry Application Master ID: State Achievement Standards, 2001, Grades 9-12, 351.03.a
  
    Coordinate Plane: Graph/Plot
The learner will be able to identify and plot ordered pairs on the coordinate plane.
Strand Bloom's Scope Hours Source
Coordinate Geometry Application Master ID: State Achievement Standards, 2001, Grades 9-12, 351.03.a
  
    Distance: Apply/Formula
The learner will be able to apply the distance formula.
Strand Bloom's Scope Hours Source
Distance Formula Application Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 348.01.a
  
    Graphing: Linear Equations
The learner will be able to graph a linear equation.
Strand Bloom's Scope Hours Source
Graphing Application Master 0.5 ID: State Achievement Standards, 2001, Grades 9-12, 351.03.a; ISAT
  
    Linear Equations: Write
The learner will be able to write the equation of a line.
Strand Bloom's Scope Hours Source
Linear Equations Application Master 0.5 ID: State Achievement Standards, 2001, Grades 9-12, 353.02.a; ISAT
  
    Midpoint: Apply/Formula
The learner will be able to apply the midpoint formula.
Strand Bloom's Scope Hours Source
Distance Formula Application Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 351.03.a; ISAT
  
    Slope: Determine/Line
The learner will be able to determine the slope of a line.
Strand Bloom's Scope Hours Source
Slope Application Master 1.0 ID: State Achievement Standards, 2001, Grades 9-12, 350.03.a; ISAT
  
    Coordinate Plane: Ordered Pairs/Area
The learner will be able to plot positions identified by ordered pairs on a coordinate plane and use to determine thee areas of a figure.
Strand Bloom's Scope Hours Source
Coordinate Geometry Application Master 1.0 ISAT
  
    Coordinate Geometry: Apply/Slope
The learner will be able to apply coordinate geometry to find the slopes of lines.
Strand Bloom's Scope Hours Source
Coordinate Geometry Application Master 1.0 ISAT
  

Trigonometry

    Right Triangles: Apply
The learner will be able to apply the tangent, sine, and/or cosine ratios for right triangles to obtain solutions to application problems including those involving indirect measurement.
Strand Bloom's Scope Hours Source
Right Triangles Master ID: State Achievement Standards, 2001, Grades 9-12, 351.02
  
    Right Triangles: Identify/Evaluate
The learner will be able to recognize and evaluate tangent, sine, and cosine ratios for an acute angle of a right triangle and apply a table, calculator, or computer to determine the ratio for a given angle or the angle for a given ratio.
Strand Bloom's Scope Hours Source
Right Triangles Evaluation Master ID: State Achievement Standards, 2001, Grades 9-12, 351.02.a; ISAT
  
    Trig. Ratios: Right Triangle/Solve
The learner will be able to apply right triangle ratios to obtain problem solutions.
Strand Bloom's Scope Hours Source
Trigonometric Ratios Application Master 1.5 ID: State Achievement Standards, 2001, Grades 9-12, 351.02..b; ISAT
  

Numeration

    Series: Find/Geometric Mean
The learner will be able to find the geometric mean.
Strand Bloom's Scope Hours Source
Sequences/Series Application Master 0.5 District Expectation